Calculating means and ranges - Katie Bruce | Biblioteka

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What is the mean of these results: 8, 10, 12, 14, 16?

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A student measures the height of a plant on five days: 12 cm, 15 cm, 14 cm, 16 cm, and 13 cm. Calculate the mean height.

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The mean is calculated by:

Adding all values and dividing by the number of values

Subtracting the smallest value from the largest

Multiplying all values together

Adding the first and last values only

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What is the range of these results: 5, 7, 9, 6, 8?

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3

4

5

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How do you calculate the range of a set of results?

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A student records temperatures of 12°C, 14°C, 15°C, 16°C, and 13°C. What is the mean temperature?

13°C

14°C

15°C

16°C

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Why is it useful to calculate the mean of a set of results?

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If one result in a set is much larger or smaller than the others, this is called:

The mean

The range

An anomaly

A trend

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A scientist records five measurements: 2.1 g, 2.4 g, 2.3 g, 2.2 g, and 2.5 g. Calculate the range.

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What does a larger range in a data set suggest?

The results are more consistent

The results vary a lot

The results are not affected by anomalies

The results are unreliable

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What is an anomaly in a scientific investigation?

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An anomalous result is:

A result that is exactly the same as the mean

A result that does not fit the pattern of other data points

A result that is the highest value in the data set

A result that is the lowest value in the data set

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Why should scientists look for anomalies in their data?

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A student records the following results: 22, 24, 21, 23, 45. Which result is likely to be an anomaly?

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If an anomaly is identified, a scientist should:

Ignore all data

Remove the anomaly and recalculate the mean

Use the anomaly to calculate the mean

Ignore all results except the anomaly

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How can you tell if a result is anomalous in an experiment?

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Anomalies in data can be caused by:

A perfectly controlled experiment

Mistakes in measurement or experimental errors

Having too many repeated results

Using the correct units

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How should a scientist handle an anomaly in their data?

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A student measures the mass of five objects: 1.2 g, 1.3 g, 1.4 g, 3.5 g, and 1.3 g. Which value is an anomaly?

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Why should scientists repeat their experiments?

To make their experiments longer

To reduce the number of results

To check for consistency and improve reliability

To get the same result every time

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If a scientist repeats an experiment and gets very different results each time, what does this suggest?

The results are reliable

The experiment might not be fair

The scientist is working too hard

The experiment might have errors or not be controlled

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A scientist records results for the rate of reaction in an experiment. They repeat the experiment three times and get similar results. What does this suggest about their data?

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If an experiment is repeated multiple times and the results are very similar, this means the experiment is:

Reliable

Inaccurate

Anomalous

Incorrect

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Which of the following best improves the reliability of an experiment?

Repeating the experiment and taking the mean of the results

Changing the method each time

Using only one data point

Ignoring any results that seem too high or too low

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Why is it important to have reliable data in scientific investigations?

So scientists can trust the conclusions they make

So experiments take longer to complete

So they don’t have to take multiple readings

So they can always get the same numbers